5/14 divided 3/4

To divide the fractions \( \frac{5}{14} \) by \( \frac{3}{4} \), you can multiply by the reciprocal of the second fraction. The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).

So, the calculation becomes:

\[ \frac{5}{14} \div \frac{3}{4} = \frac{5}{14} \times \frac{4}{3} \]

Now, multiply the fractions:

\[ \frac{5 \times 4}{14 \times 3} = \frac{20}{42} \]

Next, simplify \( \frac{20}{42} \). The greatest common divisor (GCD) of 20 and 42 is 2. So, divide both the numerator and the denominator by 2:

\[ \frac{20 \div 2}{42 \div 2} = \frac{10}{21} \]

Thus, \( \frac{5}{14} \div \frac{3}{4} = \frac{10}{21} \).